Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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58. m∠ace = m∠acd = m∠bcf =
\( m\angle ACE=\boldsymbol{78^\circ} \), \( m\angle ACD=\boldsymbol{75^\circ} \), \( m\angle BCF=\boldsymbol{90^\circ} \)
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solve for x. (3x + 5) 65 x = 10 x = 20 x = 40 x = 90
x = 20 (corresponding to the option "x = 20")
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guided practice do you understand? 1. draw a picture to explain how to …
To find \(3\times\frac{2}{5}\) using a picture: ### Step 1: Represent \(\boldsymbol{\frac{2}{5}}\) Draw a rectangle (or circle) and divide it into 5 equal parts. Shade 2 of these …
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question 7 10 points what kind of transformation is used to create a bu…
A. dilation
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use fraction circle pieces. the red circle is the whole. make two diffe…
### First Combination (1) # Explanation: ## Step1: Choose fraction pieces We can use two $\frac{1}{2}$ fraction circle pieces. A $\frac{1}{2}$ piece represents half of the whole r…
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analyze the diagram below and complete the instructions that follow. fi…
C. 8.2
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look at triangle abc. what are the coordinates of the image of point b …
A. (-3, 3)
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zohar is using scissors to cut a rectangle with a length of $5x - 2$ an…
C. \( 2(5x - 2)+2(3x + 1) \); 62 centimeters (assuming the options are labeled as A, B, C, D with C being the third option as per the order: first option is A, second B, third C, …
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the altitude to the hypotenuse of a right triangle divides the hypotenu…
C. $3\sqrt{6}$
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21. the bottom of a circular swimming pool has an area of 200.96 square…
The radius of the swimming pool is 8 feet. ### Question 22:
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analyze the diagram below and complete the instructions that follow. id…
A. $\triangle ABC, \triangle BDA, \triangle BCD$
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21. the bottom of a circular swimming pool has an area of 200.96 square…
The radius of the swimming pool is 8 feet.
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lines p and q are perpendicular. the slope of line p is \\(\\frac{1}{4}…
$\frac{1}{4} \cdot \text{slope of } q = -1$
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find the length of the altitude to the hypotenuse. round the answer to …
B. 86.9
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analyze the diagram below and complete the instructions that follow. fi…
B. 15.9
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4 calcule l’aire des surfaces vertes. a) b) c)
\( 38 \, \text{cm}^2 \) ### Partie b)
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1. use the triangle shown below to find the lengths of \\( \\overline{l…
The correct option is \( LM = 10 \), \( LN = 5\sqrt{3} \) (assuming the option is phrased as such, e.g., "LM = 10, LN = 5√3").
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point a of a triangle abc is at (3,2). if triangle abc is reflected abo…
B. (3, - 2)
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how could brent use a rectangle to model the factors of ( x^2 - 7x + 6 …
C. He could draw a diagram of a rectangle with dimensions \(x - 1\) and \(x - 6\) and then show the area is equivalent to the sum of \(x^2\), \(-x\), \(-6x\), and \(6\).
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47. the perimeter of a rectangle is 70 cm. if the length is 7 cm longer…
The width of the rectangle is 14 cm and the length is 21 cm. ### Problem 48
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the figure shows a triangle on a coordinate plane. which of the followi…
B
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3. which statement is true? square units are used to measure volume, cu…
Square units are used to measure area, cubic units are used to measure volume.
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the altitude to the hypotenuse of a right triangle divides the hypotenu…
B. $5\sqrt{3}$
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analyze the diagram below and complete the instructions that follow. fi…
B. 6
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analyze the diagram below and complete the instructions that follow. fi…
D. 45.6
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the expression $40x^2 - 65x + 50$ represents the sum of the interior an…
B. $2(8x^2 - 13x + 10)$
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analyze the diagram below and complete the instructions that follow. fi…
C. 4
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analyze the diagram below and complete the instructions that follow. de…
A. true
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analyze the diagram below and complete the instructions that follow. fi…
B. 56.8
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analyze the diagram below and complete the instructions that follow. fi…
C. 24
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analyze the diagram below and complete the instructions that follow. fi…
B. \( x = 9,y = 15,z = 20 \)
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question write the equation of the line in fully simplified slope - int…
$y = x - 2$
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ite the equation of the line in fully simplified slope - intercept form…
$y=-\frac{2}{3}x - 8$
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10. circle all the statements that are true. a. the opposite of 4 is -4…
a. The opposite of 4 is -4, c. The opposite of the opposite of -3 is -3, e. The number -2 is greater than -10 ### Question 11 #### Part a
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geometry using sine, cosine, and tangent find the missing side. round t…
Let's solve each problem step by step using sine, cosine, or tangent. ### Problem 1: We have a right triangle with hypotenuse \( 10 \) and angle \( 36^\circ \). The side \( x \) i…
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ncept of the triangle inequality is the concept of range. when you two …
12
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find the value of the variable. round the answer to the nearest tenth w…
B. 6.7
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which angles are vertical to each other? select all that apply. ∠6 and …
B. ∠2 and ∠4, D. ∠8 and ∠6 (assuming the options are labeled as A. ∠6 and ∠2, B. ∠2 and ∠4, C. ∠7 and ∠1, D. ∠8 and ∠6)
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identifying triangle congruence practice for each of the following: 1. …
1. - Reason: SSS; Congruence: $\triangle ABC \cong \triangle DEF$ 2. - Reason: SAS; Congruence: $\triangle KML \cong \triangle NPQ$ 3. - Reason: SAS; Congruence: $\triangle FRD \c…
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which angles are supplementary to each other? select all that apply. ∠4…
\(\angle 5\) and \(\angle 4\) (and potentially others if misinterpreted, but based on linear pair, this is correct).
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the triangle inequality theorem states that the sum of the lengths of a…
a. \(19 < x < 31\) b. \(74 < x < 90\)
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which equation can be used to solve for b? options: - ( b = (8)\tan(30^…
\( b=(8)\tan(30^{\circ}) \) (the first option)
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graph rectangle tuvw with vertices t(-9, 5), u(0, -10), v(5, -7), and w…
$8\sqrt{34}$ or approximately 46.6 units
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the diagram shows a convex polygon. what is the sum of the interior ang…
360
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which equation can be used to solve for c? options: - ( c = (5)cos(35^c…
\(c=\frac{5}{\cos(35^{\circ})}\) (the second option)
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the diagram shows a convex polygon. what is the sum of the interior ang…
1620
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a triangle has angles that measure 30°, 60°, and 90°. the hypotenuse of…
23.7 in.
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in the diagram below, \\(\\overline{ad} \\cong \\overline{ae}\\), \\(\\…
$\text{m}\angle BAD = 117^\circ$
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rainbow snake this program draws a rainbow snake. to make the snake dra…
To solve the challenge of making the size of some circles random and the snake's body move up/down, follow these steps: ### Step 1: Understand the Starter Code The original code u…
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right triangle abc is shown. which equation can be used to solve for c?…
$\sin(50^\circ) = \frac{3}{c}$ (the first option)
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in the diagram below, \\(\\overline{ad} \\cong \\overline{ae}\\), \\(\\…
$\text{m}\angle BAD = 117^\circ$
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Question was provided via image upload.
$\tan(30^\circ) = \frac{5}{b}$ (the first option)
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#6 find the missing angle.
$41^\circ$
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which equation can be solved to find one of the missing side lengths in…
$\cos(60^\circ) = \frac{12}{a}$ (the first option)
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#1 find the missing angle #3 find the missing angle #5 find the missing…
#1: $124^\circ$ #3: $31^\circ$ #5: $38^\circ$
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31) aas 32) hl 33) sss 34) sas
31) $\triangle ABC \cong \triangle BAV$ 32) $\triangle EFD \cong \triangle EFV$ 33) $\triangle XIK \cong \triangle JIK$ 34) $\triangle SRQ \cong \triangle WQR$
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#4 find the missing angle. 162° x
$18^\circ$
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question 14 1 pts 2 cm 6 cm 6 cm 6 cm 8 cm 12 cm 12 cm which of the fol…
C. $(12×16)-(8×6)$
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sarah needs to buy mulch for her garden. she drew a diagram of his gard…
3 bags
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name: date: practice: adjacent and verti #1 find the missing angle. #2 …
$31^\circ$
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4. if ( mangle3 = 54^circ ), find each measure. a. ( mangle1 = ) b. ( m…
# Explicación: ## Problema 3 ### Paso 1: Calcular $m\angle1$ $\angle1$ es ángulo recto, así que: $m\angle1 = 90^\circ$ ### Paso 2: Calcular $m\angle4$ Usamos ángulos de triángulo:…
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the diagram below is a right rectangular prism. all the angles shown me…
\( YX \) and \( VW \) (Other valid pairs include \( YV \) and \( XW \), \( RS \) and \( TU \), \( RV \) and \( SW \), \( RU \) and \( ST \), \( YU \) and \( XT \), etc.)
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what is the value of y? write your answer as an integer or as a decimal…
$y = 10.4$
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there are three ways of describing an interval. for the interval descri…
B. The graph with an open circle at -1 and an arrow pointing to the left (towards more negative numbers) ### Part 2: Write interval notation for \(\{x | x < -1\}\)
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the measures of the angles of a triangle are shown in the figure below.…
\(40\)
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the segment below is dilated by a scale factor of 4 to form \\(\\overli…
84
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which figure is a triangular prism?
The third figure (the one with two triangular bases and three rectangular lateral faces) is the triangular prism.
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which figure is a rectangular pyramid? how many faces does a rectangula…
5
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answer attempt 1 out of 2 the quadrilateral is most specifically a, bec…
parallelogram; it has two pairs of parallel and congruent sides
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una transversal corta dos rectas paralelas tal y como se muestra a cont…
$m\angle 2 = 56^\circ$ $m\angle 3 = 124^\circ$
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the figure shows quadrilateral pqrs. diagonals \\(\\overline{pr}\\) and…
C. $\overline{PS} \parallel \overline{QR}$ and $\overline{PS} \cong \overline{QR}$ D. $\overline{PQ} \cong \overline{SR}$ and $\overline{PS} \cong \overline{QR}$ F. $\overline{PT}…
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what kind of triangle is this? acute right obtuse
acute (since all angles \(61^\circ\), \(66^\circ\), \(53^\circ\) are less than \(90^\circ\), so it's an acute triangle)
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find hj. write your answer as an integer or as a decimal rounded to the…
\( 8.1 \)
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the point a is shown below. reflect a across the x - axis. then reflect…
The final point is at $(3, 0)$ (plot this point on the coordinate grid at the intersection of x=3 and y=0)
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if an image of a triangle is congruent to the pre - image, what is the …
1
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triangle abc will be dilated according to the rule $d_{f, 0.25}(x,y)$, …
(1, 0)
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complete the proof that \\(\\overline{gj} \\cong \\overline{ij}\\). 1 \…
1. Given (marked congruent segments) 2. Given (perpendicular lines) 3. Isosceles Triangle Theorem 4. All right angles are congruent 5. AAS Congruence Criterion 6. CPCTC (Correspon…
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find the perimeter. write your answer as a fraction or as a whole or mi…
\( 4\frac{2}{9} \) (or \(\frac{38}{9}\))
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apply: finding unknown angle measures two angles, ∠1 and ∠2, are comple…
The measure of $\angle 1$ is $61^\circ$, and the measure of $\angle 2$ is $29^\circ$.
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why is the information in the diagram enough to determine that $\\trian…
because $\angle$MNL and $\angle$ONP are congruent angles
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6. in △cde, u is the centroid, uk = 12, em = 21, and ud = 9. find each …
\( 24 \) --- ### 2. Finding \( MU \)
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
To graph the ellipse \(\boldsymbol{\frac{x^{2}}{4}+\frac{y^{2}}{9}=1}\): 1. Recognize it as a vertical ellipse centered at \((0,0)\) with \(a = 3\) (semi - major axis) and \(b=2\)…
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find p. write your answer in simplest radical form. miles submit work i…
$2\sqrt{6}$ miles
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$overline{uv} cong overline{tu}$ and $overline{vw} cong overline{tw}$. …
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
A) 72
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reasoning about definitions and properties of geometric figures determi…
always ### Question 2: Perpendicular lines are $\boldsymbol{ ule{1cm}{0.15mm}}$ coplanar.
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area of triangle =?
The area of the triangle is \(18\) square centimeters (or \(18\ \text{cm}^2\)).
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$overline{xy} perp overline{wx}$ and $overline{vw} perp overline{wx}$. …
Definition of perpendicular lines
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1. essential question what angle relationships are created when paralle…
When parallel lines are intersected by a transversal, the angle relationships include: equal corresponding angles, equal alternate interior angles, equal alternate exterior angles…
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find the vertex of the parabola ( y = x^2 ). simplify both coordinates …
\((0, 0)\)
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calculate the area and perimeter(all around). perimeter: ____ ft area: …
Perimeter: 112 ft Area: 488 ft²
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solve for ( x ). round to the nearest tenth, if necessary. (there is a …
\( 4.5 \)
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complete the proof that \\(\\overline{ps} \\cong \\overline{rs}\\). | |…
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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what is the area of the letter zora made? a = \\square in.^2
\( 50 \)
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in the diagram, dg = 12, gf = 4, eh = 9, and hf = 3. to prove that $\\t…
∠DFE is congruent to ∠GFH.
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find the missing angle measures. name: ∠2 = 68° ∠3 = 36° ∠1 = 100° ∠4 =…
∠1 = \(100^\circ\), ∠2 = \(68^\circ\), ∠3 = \(36^\circ\), ∠4 = \(20^\circ\), ∠5 = \(68^\circ\), ∠6 = \(130^\circ\)
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the longest side of an acute triangle measures 30 inches. the two remai…
72.4 in.
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which best explains whether a triangle with side lengths 2 in, 5 in, an…
The triangle is not acute because $2^{2}+4^{2}<5^{2}$.
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arielle is building the wooden framework for the roof of a house. she n…
B. It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.
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an acute triangle has two sides measuring 8 cm and 10 cm. what is the b…
6 < s < 12.8